Properties

Genus \(4\)
Quotient Genus \(0\)
Group \(C_3:S_3.C_2\)
Signature \([ 0; 3, 4, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 4
Quotient Genus: 0
Group name: $C_3:S_3.C_2$
Group identifier: [36,9]
Signature: $[ 0; 3, 4, 4 ]$
Conjugacy classes for this refined passport: 4, 5, 6

The full automorphism group for this family is $S_3\wr C_2$ with signature $[ 0; 2, 4, 6 ]$.

Jacobian variety group algebra decomposition:$E^{4}$
Corresponding character(s): 6

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.36-9.0.3-4-4.2.1

  (1,4,7) (2,5,8) (3,6,9) (10,13,16) (11,14,17) (12,15,18) (19,22,25) (20,23,26) (21,24,27) (28,31,34) (29,32,35) (30,33,36)
  (1,19,10,28) (2,27,12,32) (3,23,11,36) (4,24,16,35) (5,20,18,30) (6,25,17,31) (7,26,13,33) (8,22,15,34) (9,21,14,29)
  (1,34,12,24) (2,29,11,20) (3,33,10,25) (4,32,18,26) (5,36,17,22) (6,28,16,21) (7,30,15,19) (8,31,14,27) (9,35,13,23)